采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: D\z`+TyJ
%Display the Zernike function Z(n=5,m=1) "iuNYM5P
clc z+j3j2
clear )yS S 2
a=5;%%%%%%%%%%Z的阶数下标 n-CFB:L
b=1;%%%%%%%%%%Z的阶数的上标 OlX
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x = -1:0.01:1; =qww|B92
[X,Y] = meshgrid(x,x); lkQ(?7
[theta,r] = cart2pol(X,Y); S"R(6:hkgu
idx = r<=1; 4z^VwKH\ j
z = nan(size(X)); :?\Je+iA
z(idx) = zernfun(a,b,r(idx),theta(idx)); _TVKvRh
figure(1) -D
wO*f
pcolor(x,x,z), shading interp T{*!.+E
axis square, colorbar h?vt6t9
xlabel('X'); +VO(6Jn
ylabel('Y'); ^7Z.~A y
title(['Zernike function Z^a_b','(r,\theta)']) ]mx1djNA
figure(2) b5l;bXp]
mesh(x,x,z) -K0!wrKC
xlabel('X'); P A$jR
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ylabel('Y'); F?4&qbdD
title(['Zernike function Z^a_b','(r,\theta)'])